{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b8bb2bf1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ff209829",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c4eca76408>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xfYmK0DAt8T8VuoiPFBSV8PxnaTy3Io3G9cN45rozGX1GWw3TkiqjQhfxgXU7DjNxfgKpe48w5sy2PDSqNy00TEuqmApd5DQcKyjmbx+n8vJXW2jVuD4v3RzLxb1bBzqW1FAqdJFT9M3mA0yJT2TbwVx+NSSayZf1pEl9DdOSwFGhi1RSdl4hTyzdwJvfbadji4b8+9dDGNZFw7Qk8FToIpXwScpepi1MZP+RfCac15k/XtydBnX1tn0JDip0ES8czMnnkfdSWLxuNz3bNGbOTbGc0aFpoGOJ/IwKXeQEzIzF63YzfXEyOflF/PHi7tw9vAt16+ht+xJ8TlrozrkOwDygNWDAHDN7ptw2w4FFwBbPongze9SnSUWqWEbWMR5YkMSnG/ZxZoemzLq6P91bNw50LJHj8uYMvQj4k5mtdc41BtY45z42s5Ry231pZqN8H1GkapWUGG9+v50nlm6gqKSEBy7vxW3ndKK23rYvQe6khW5mGUCG5/YR59x6oB1QvtBFqr0tB44yOS6BVVsyGdalBTOv6k90i4aBjiXilUpdQ3fOxQBnAasqWD3UObcO2A3cZ2bJFdx/AjABIDo6utJhRfylqLiEV77ewl8/2kjdOrV4clw//ie2g962L9WK14XunGsExAF/MLPscqvXAh3NLMc5NxJYCHQr/zPMbA4wByA2NtZONbSIL63PyGZSXAIJO7O4pHdrHruyL62b1A90LJFK86rQnXNhlJb5G2YWX3592YI3s6XOueedc5FmdsB3UUV8K7+omOdWbOb5FWlENAjj2V+dxeX9onRWLtWWN69yccDLwHoz+9txtmkD7DUzc84NBmoBB32aVMSH1m4/xKT5CWzal8PYs9rx0KjeNAuvG+hYIqfFmzP0c4CbgETn3I+eZVOBaAAzmw1cDdztnCsCjgHXmZkuqUjQyS0o4i8fbuTVb7bQpkl9Xr11EBf0bBXoWCI+4c2rXL4CTvhvUDN7FnjWV6FE/OHrtANMjk9gR+Yxbjq7IxNH9KCxhmlJCNE7RSXkZR0r5PH31/P26h10igzn7QlnM6Rzi0DHEvE5FbqEtI+S9/DAwiQOHi3grvO78IeLu1E/TMO0JDSp0CUk7T+Sz/T3knk/IYNeUU14+ZZB9GsfEehYIn6lQpeQYmYs+GEXjy5JITe/mPt+2Z07z+9CWG0N05LQp0KXkLHr8DGmLUjks9T9DIguHabVtZWGaUnNoUKXaq+kxHhj1TZmLttAicHDV/Tm5qExGqYlNY4KXaq19P05TI5L5LutmfyiWySPj+1Hh+YapiU1kwpdqqWi4hJe/HILT3+ykfp1avHU1f25emB7vW1fajQVulQ7ybuzmBSXQNKubC7t05oZY/rSSsO0RFToUn3kFRbzz+WbmP15Os0a1uWFGwZwWb+oQMcSCRoqdKkW1mzLZOL8BDbvP8q4Ae15cFQvmjbUMC2RslToEtSO5hfx1IepzP12K20jGjB3/GDO794y0LFEgpIKXYLWFxv3MyU+kd1Zx7j57I7cP6InjerpkBU5Hv3pkKCTlVvIjPdTmL9mJ51bhvPOnUMZFNM80LFEgp4KXYLKB0kZPLgomcyjBfxmeBd+d5GGaYl4S4UuQWHfkTweXpTMsqQ99I5qwqu3DqJvOw3TEqkMFboElJkxf81OHnt/PccKi5k4oge//kVnDdMSOQUqdAmYHZm5TF2QyJebDjAophkzx/WnS8tGgY4lUm2p0KXKlZQY877dyqwPU3HAo2P6cOOQjtTSMC2R06JClyqVti+HyXEJrN52iPO6t+TxsX1p30zDtER8QYUuVaKwuIQ5X6TzzCebaFC3Nn+95gyuGtBOw7REfEiFLn6XtCuLifMTSMnIZmS/Njwyui8tG9cLdCyRkKNCF7/JKyzmmU83MeeLdJqH12X2jQMZ0bdNoGOJhCwVuvjF91szmTQ/gfQDR/mf2PZMG9mbiIZhgY4lEtJOWujOuQ7APKA1YMAcM3um3DYOeAYYCeQCt5rZWt/HlWCXk1/ErA82MO/bbbRv1oDXbx/Cud0iAx1LpEbw5gy9CPiTma11zjUG1jjnPjazlDLbXAZ083wNAV7w/FdqkBWp+5gWn0hGdh63nRPDfb/sQbiGaYlUmZP+aTOzDCDDc/uIc2490A4oW+hjgHlmZsBK51xT51yU574S4g4dLWDGkhTif9hF11aNmH/XMAZ2bBboWCI1TqVOn5xzMcBZwKpyq9oBO8p8v9Oz7GeF7pybAEwAiI6OrmRUCTZmxtLEPTy8OInDuYX89sKu3HthV+rV0TAtkUDwutCdc42AOOAPZpZ9Kg9mZnOAOQCxsbF2Kj9DgsO+7DweWJjERyl76dcugnnjh9C7bZNAxxKp0bwqdOdcGKVl/oaZxVewyS6gQ5nv23uWSYgxM95dvZMZ76dQUFTClMt6cvu5naijYVoiAefNq1wc8DKw3sz+dpzNFgP3OufeovTJ0CxdPw89OzJzmRKfyFdpBxjcqTkzr+pHZw3TEgka3pyhnwPcBCQ65370LJsKRAOY2WxgKaUvWUyj9GWLt/k8qQRMcYkx95utPPVhKrVrOR67si+/GhytYVoiQcabV7l8BZzwT67n1S33+CqUBI9Ne48wMS6BH7YfZniPljw+th9tmzYIdCwRqYBeJCwVKigqYfbnm3l2eRrh9Wrz92vPZMyZbTVMSySIqdDlvyTsPMzE+Qls2HOEK85oy8NX9CaykYZpiQQ7Fbr8R15hMU9/vJEXv0ynZeN6vHhzLJf0bh3oWCLiJRW6ALAy/SCT4xLYejCX6wd3YPJlvYhooGFaItWJCr2GO5JXyMxlG3hj1Xaimzfk33cMYVhXDdMSqY5U6DXY8g17mbYgib3Zedxxbif+95fdaVhXh4RIdaU/vTVQ5tECHn0vmYU/7qZ760Y8f8MwzorWMC2R6k6FXoOYGe8lZDB9cTJH8gr5/UXduOeCrtSto7fti4QCFXoNsSerdJjWJ+v3ckb7CJ68egg922iYlkgoUaGHODPjre938Pj76yksKWHayF6MP7cTtfW2fZGQo0IPYdsOHmVyXCLfph/k7M7NmXlVf2IiwwMdS0T8RIUegopLjFe/3sJfPkolrFYtHh/bj+sGddAwLZEQp0IPMal7SodprdtxmIt6tuKxsX2JitAwLZGaQIUeIgqKSnj+szSeW5FG4/ph/OP6s7iif5SGaYnUICr0EPDjjsNMmp9A6t4jjDmzLQ9f0Yfm4XUDHUtEqpgKvRo7VlDMXz9K5ZWvt9CqcX1eviWWi3ppmJZITaVCr6a+2XyAyXGJbM/M5VdDopl8WU+a1NcwLZGaTIVezWTnFfLE0vW8+d0OOrZoyJu/PpuhXVoEOpaIBAEVejXyScpepi1MZP+RfO48rzN/uLg7DerWDnQsEQkSKvRq4GBOPtPfS+G9dbvp2aYxL94cS//2TQMdS0SCjAo9iJkZi37czSPvJZOTX8T/XtKdu87vomFaIlIhFXqQ2n34GA8sTGL5hn2c2aEps67uT/fWjQMdS0SCmAo9yJSUGP/+bjszl22guMR4cFRvbh0Wo2FaInJSKvQgsuXAUSbHJbBqSybndG3BE2P7E92iYaBjiUg1cdJCd869AowC9plZ3wrWDwcWAVs8i+LN7FEfZgx5RcUlvPzVFv728Ubq1qnFrHH9uSa2vd62LyKV4s0Z+r+AZ4F5J9jmSzMb5ZNENUzK7mwmxSWQuCuLS3q35rEr+9K6Sf1AxxKRauikhW5mXzjnYqogS42SX1TMs8vTeOGzzTRtGMZzvxrAyH5tdFYuIqfMV9fQhzrn1gG7gfvMLLmijZxzE4AJANHR0T566OpnzbZDTIpLIG1fDled1Y4HR/WmmYZpichp8kWhrwU6mlmOc24ksBDoVtGGZjYHmAMQGxtrPnjsaiW3oIinPkzlX99sJapJfV69bRAX9GgV6FgiEiJOu9DNLLvM7aXOueedc5FmduB0f3Yo+WrTASbHJ7Dz0DFuOrsjE0f0oLGGaYmID512oTvn2gB7zcycc4OBWsDB004WIrKOFfLn91N4Z/VOOkWG886dQxncqXmgY4lICPLmZYtvAsOBSOfcTuBhIAzAzGYDVwN3O+eKgGPAdWZW4y6nVOTD5D08uDCJg0cLuHt4F35/UTfqh2mYloj4hzevcrn+JOufpfRljeKx/0g+0xcn835iBr2imvDyLYPo1z4i0LFEJMTpnaI+ZGbEr93Fo0tSOFZQzP2X9mDCeZ0Jq61hWiLifyp0H9l1+BhT4xP5fON+BkSXDtPq2krDtESk6qjQT1NJifH6qm08uWwDBky/ojc3DdUwLRGpeir007B5fw6T4xL4fushftEtksfH9qNDcw3TEpHAUKGfgsLiEl78Mp2/f7KJ+nVq8dTV/bl6oIZpiUhgqdArKWlXFpPiEkjenc2IPm149Mo+tGqsYVoiEngqdC/lFRbzz+WbmP15Os0a1uWFGwZwWb+oQMcSEfkPFboXVm/NZGJcAun7jzJuQHseHNWLpg01TEtEgosK/QSO5pcO05r77VbaRjRg7vjBnN+9ZaBjiYhUSIV+HJ9v3M/U+ER2Zx3jlqEx3H9pD8LraXeJSPBSQ5VzOLeAGUvWE7d2J51bhvPunUOJjdEwLREJfir0MpYlZvDgomQO5RZwzwVd+O2FGqYlItWHCh3Yl53HQ4uS+SB5D33aNmHu+EH0aathWiJSvdToQjcz5q/ZyYwlKeQVlTBpRE/u+EUnDdMSkWqpxhb6jsxcpi5I5MtNBxgU04yZ4/rTpWWjQMcSETllNa7Qi0uM177dyqwPU3HAjDF9uGFIR2ppmJaIVHM1qtDT9h1hUlwia7Yd4vzuLfnz2L60b6ZhWiISGmpEoRcWl/B/n2/mH5+m0bBebf72P2cw9qx2GqYlIiEl5As9aVcW989PYH1GNpf3i2L66D60bFwv0LFERHwuZAs9r7CYv3+yiRe/TKd5eF1m3ziQEX3bBDqWiIjfhGShf7clk8lxCaQfOMq1sR2YOrIXEQ3DAh1LRMSvQqrQj+QVMuuDVF5buY32zRrw+u1DOLdbZKBjiYhUiZAp9BWp+5gWn0hGdh7jz+nEfZd2p2HdkPnfExE5qWrfeIeOFjBjSQrxP+yia6tGzL9rGAM7Ngt0LBGRKnfSQnfOvQKMAvaZWd8K1jvgGWAkkAvcamZrfR20PDPj/cQMHl6UTNaxQn53YVfuubAr9epomJaI1EzenKH/C3gWmHec9ZcB3TxfQ4AXPP/1m73ZeTy4MImPUvbSr10Er98xhF5RTfz5kCIiQe+khW5mXzjnYk6wyRhgnpkZsNI519Q5F2VmGb4KWdaKDfv43Vs/UFBUwpTLenL7uZ2oo2FaIiI+uYbeDthR5vudnmX/VejOuQnABIDo6OhTerBOkeEMiG7G9NF96BQZfko/Q0QkFFXpqa2ZzTGzWDOLbdny1D6bMyYynLnjB6vMRUTK8UWh7wI6lPm+vWeZiIhUIV8U+mLgZlfqbCDLX9fPRUTk+Lx52eKbwHAg0jm3E3gYCAMws9nAUkpfsphG6csWb/NXWBEROT5vXuVy/UnWG3CPzxKJiMgp0ev9RERChApdRCREqNBFREKECl1EJES40uc0A/DAzu0Htp3i3SOBAz6M4yvBmguCN5tyVY5yVU4o5upoZhW+MzNghX46nHOrzSw20DnKC9ZcELzZlKtylKtyalouXXIREQkRKnQRkRBRXQt9TqADHEew5oLgzaZclaNclVOjclXLa+giIvLfqusZuoiIlKNCFxEJEUFX6M65Ec65VOdcmnNucgXr6znn3vasX1X24/Gcc1M8y1Odc5dWca7/dc6lOOcSnHOfOuc6lllX7Jz70fO1uIpz3eqc21/m8e8os+4W59wmz9ctVZzr6TKZNjrnDpdZ58/99Ypzbp9zLuk4651z7h+e3AnOuQFl1vlzf50s1w2ePInOuW+cc2eUWbfVs/xH59zqKs413DmXVeb39VCZdSc8Bvyc6/4ymZI8x1Rzzzq/7C/nXAfn3ApPDyQ7535fwTb+Pb7MLGi+gNrAZqAzUBdYB/Qut81vgNme29cBb3tu9/ZsXw/o5Pk5tasw1wVAQ8/tu3/K5fk+J4D761bg2Qru2xxI9/y3med2s6rKVW773wKv+Ht/eX72ecAAIOk460cCywAHnA2s8vf+8jLXsJ8ej9IPZl9VZt1WIDJA+2s4sOR0jwFf5yq37RXAcn/vLyAKGOC53RjYWMGfR78eX8F2hj4YSDOzdDMrAN6i9EOoyxoDzPXcng9c5JxznuVvmVm+mW2hdD774KrKZWYrzCzX8+1KSj+5yd+82V/HcynwsZllmtkh4GNgRIByXQ+86aPHPiEz+wLIPMEm//nQczNbCTR1zkXh3/110lxm9o3ncaHqji9v9tfxnM6x6etcVXJ8mVmGma313D4CrKf085XL8uvxFWyFfrwPnK5wGzMrArKAFl7e15+5yrqd0r+Ff1LfObfaObfSOXeljzJVJtc4zz/v5jvnfvq4wKDYX55LU52A5WUW+2t/eeN42f25vyqr/PFlwEfOuTWu9IPYq9pQ59w659wy51wfz7Kg2F/OuYaUFmNcmcV+31+u9FLwWcCqcqv8enyd9AMupHKcczcCscD5ZRZ3NLNdzrnOwHLnXKKZba6iSO8Bb5pZvnPuTkr/dXNhFT22N64D5ptZcZllgdxfQc05dwGlhX5umcXnevZXK+Bj59wGzxlsVVhL6e8rxzk3ElgIdKuix/bGFcDXZlb2bN6v+8s514jSv0D+YGbZvvq53gi2M3RvPnD6P9s45+oAEcBBL+/rz1w45y4GpgGjzSz/p+Vmtsvz33TgM0r/5q6SXGZ2sEyWl4CB3t7Xn7nKuI5y/xz24/7yxvGyB/zD0J1z/Sn9HY4xs4M/LS+zv/YBC/DdpcaTMrNsM8vx3F4KhDnnIgmC/eVxouPL5/vLORdGaZm/YWbxFWzi3+PL108MnOaTCnUofTKgE///iZQ+5ba5h58/KfqO53Yffv6kaDq+e1LUm1xnUfokULdyy5sB9Ty3I4FN+OjJIS9zRZW5PRZYaf//SZgtnnzNPLebV1Uuz3Y9KX2CylXF/irzGDEc/0m+y/n5k1bf+Xt/eZkrmtLnhYaVWx4ONC5z+xtgRBXmavPT74/SYtzu2XdeHQP+yuVZH0Hpdfbwqthfnv/vecDfT7CNX48vn+1cH/6SRlL67PBmYJpn2aOUnvUC1Afe9Rzc3wGdy9x3mud+qcBlVZzrE2Av8KPna7Fn+TAg0XNAJwK3V3GuJ4Bkz+OvAHqWue94z35MA26rylye76cDM8vdz9/7600gAyik9Drl7cBdwF2e9Q54zpM7EYitov11slwvAYfKHF+rPcs7e/bVOs/veVoV57q3zPG1kjJ/4VR0DFRVLs82t1L6Qomy9/Pb/qL0MpgBCWV+TyOr8vjSW/9FREJEsF1DFxGRU6RCFxEJESp0EZEQoUIXEQkRKnQRkRChQhcRCREqdBGREPH/AOjod4abU9oeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([0,2],[1,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8187454c",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4e238567",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=[1,2,3,4,5]\n",
    "squares=[2,4,6,7,8]\n",
    "plt.plot(x,squares)\n",
    "\n",
    "plt.title(\"数字\",fontsize=20)\n",
    "plt.xlabel(\"datas\",fontsize=14)\n",
    "plt.ylabel(\"squares\",fontsize=14)\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "446c427e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 4, 9, 16, 25]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=[1,2,3,4,5]\n",
    "y=[i*i for i in x]\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "efbea611",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,linewidth=5)\n",
    "plt.savefig(\"result.jpg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "19417af0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=np.linspace(0,10,100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2ddac077",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y1=np.sin(x)\n",
    "y1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "64960083",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  0.99490282,  0.97966323,  0.95443659,  0.91948007,\n",
       "        0.87515004,  0.8218984 ,  0.76026803,  0.69088721,  0.61446323,\n",
       "        0.53177518,  0.44366602,  0.35103397,  0.25482335,  0.15601496,\n",
       "        0.0556161 , -0.04534973, -0.14585325, -0.24486989, -0.34139023,\n",
       "       -0.43443032, -0.52304166, -0.60632092, -0.68341913, -0.75355031,\n",
       "       -0.81599952, -0.87013012, -0.91539031, -0.95131866, -0.97754893,\n",
       "       -0.9938137 , -0.99994717, -0.9958868 , -0.981674  , -0.95745366,\n",
       "       -0.92347268, -0.88007748, -0.82771044, -0.76690542, -0.69828229,\n",
       "       -0.6225406 , -0.54045251, -0.45285485, -0.36064061, -0.26474988,\n",
       "       -0.16616018, -0.06587659,  0.03507857,  0.13567613,  0.23489055,\n",
       "        0.33171042,  0.4251487 ,  0.51425287,  0.59811455,  0.67587883,\n",
       "        0.74675295,  0.8100144 ,  0.86501827,  0.91120382,  0.94810022,\n",
       "        0.97533134,  0.99261957,  0.99978867,  0.99676556,  0.98358105,\n",
       "        0.96036956,  0.9273677 ,  0.88491192,  0.83343502,  0.77346177,\n",
       "        0.70560358,  0.63055219,  0.54907273,  0.46199582,  0.37020915,\n",
       "        0.27464844,  0.17628785,  0.07613012, -0.0248037 , -0.12548467,\n",
       "       -0.2248864 , -0.32199555, -0.41582217, -0.50540974, -0.58984498,\n",
       "       -0.66826712, -0.7398767 , -0.8039437 , -0.859815  , -0.90692104,\n",
       "       -0.94478159, -0.97301068, -0.99132055, -0.99952453, -0.99753899,\n",
       "       -0.98538417, -0.96318398, -0.93116473, -0.88965286, -0.83907153])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y2=np.cos(x)\n",
    "y2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "8c3950cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 20x10 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y1)\n",
    "plt.plot(x,y2)\n",
    "plt.title(\"sin and cos\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "plt.figure('sin and cos',figsize=(2,1),dpi=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ebe156b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y1)\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0805ba19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "x=np.random.rand(100)\n",
    "y=np.random.rand(100)\n",
    "color=np.random.rand(100)\n",
    "size=np.random.rand(10)\n",
    "plt.scatter(x,y,c=color,s=1000,alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d0f639c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAD4CAYAAADmWv3KAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAPWUlEQVR4nO3cf6xfdX3H8eeLVlxtFUu4a6hJbbJ1bjppiFcFrFicnUJZFsgWjE5dcGniNrOZLLMEtoRNI/EPJkNlaYaGEHVpMCqhMAKjxG4VQ7uMH24YdbZOVrKaIaWJyfzx3h/fg729/V7uuV/4fu/lc5+P5OSe7/uc7/l+zoeTVz98zvd7UlVIktpz2mI3QJI0Hga8JDXKgJekRhnwktQoA16SGmXAS1KjVi52A55x1lln1caNGxe7GZL0gnLw4MEfVNXUsG1LJuA3btzIgQMHFrsZkvSCkuTwXNucopGkRhnwktQoA16SGmXAS1KjDHhJalSvgE9yZpJtSc4ad4MkSc+PeQM+ydnAHuANwN4kU0luTrI/yTUz9utVkyRNRp8R/GuAD1XVR4G7gbcCK6rqAmB9kk1JLu9TG9dJSJJONe8PnarqXoAkFzIYxZ8J7O423wdsAc7tWfvWzGMn2QHsANiwYcNzOA3phWfjzj2L3YQFOXTd9sVughao7xx8gCuAHwMBHu82HQPWAat71k5SVbuqarqqpqemhv7SVpI0ol4BXwN/BOwHzgNWdZvWdMc43rMmSZqQPjdZP5zkvd3LlwPXMZhuAdgMHAIO9qxJkiakz8PGdgG7k/wB8CjwZeCrSdYDFzMY0Rewr0dNkjQhfW6yPglsm1lLsrWrfbyqnlpITZI0GSM9LrgL/d2j1CRJk+GNT0lqlAEvSY0y4CWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1CgDXpIaZcBLUqMMeElq1LwBn+SMJHcluSfJl5KcnuR7Se7vltd2+12b5MEkn5zx3lNqkqTJ6DOCfzdwfVVtA54AdgJfqKqt3fJIkmlgC/AG4PtJ3jasNqZzkCQNMW/AV9Wnq+qe7uUU8BPgsiT/nORzSVYCFwJfrKoC7gXePEdNkjQhK/vumOR8YC1wD/DZqjqS5FPAJcBq4DvdrseAdQz+IZhdm33MHcAOgA0bNox4CpJ0so079yx2Exbk0HXbx3LcXjdZk5wJ3AhcCTxcVUe6TY8Bm4DjwKqutqY77rDaSapqV1VNV9X01NTUyCchSTpVn5uspwO7gauq6jBwa5LNSVYAlwEPAQcZzLcDbAYOzVGTJE1Inyma9wOvA65OcjWwF7gVCHB7Vd2b5DTgY0luAN7RLYeH1CRJEzJvwFfVTcBNs8rXztrnZ923ZLYDN1TVdwGG1SRJk9H7Jut8qupHwG3z1SRJk+EvWSWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1CgDXpIaZcBLUqMMeElqlAEvSY0y4CWpUQa8JDVq3oBPckaSu5Lck+RLSU5PcnOS/UmumbFfr5okaTL6jODfDVxfVduAJ4B3Aiuq6gJgfZJNSS7vUxvXSUiSTrVyvh2q6tMzXk4Bvwd8ont9H7AFOBfY3aP2rZnHTrID2AGwYcOGUdqvCdi4c89iN6G3Q9dtX+wmSEtG7zn4JOcDa4H/Ah7vyseAdcDqnrWTVNWuqpququmpqamRTkCSNFyvgE9yJnAjcCVwHFjVbVrTHaNvTZI0IX1usp7OYKrlqqo6DBxkMN0CsBk4tICaJGlC5p2DB94PvA64OsnVwGeB9yRZD1wMnAcUsK9HTZI0IfOO4KvqpqpaW1Vbu+UWYCvwAHBRVT1VVcf61MZ1EpKkU/UZwZ+iqp7kxDdkFlSTJE2GNz4lqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1CgDXpIaZcBLUqMMeElqlAEvSY0y4CWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVG9Aj7JuiT7uvVXJPl+kvu7Zaqr35xkf5JrZrzvlJokaTLmDfgka4FbgNVd6Y3AR6tqa7ccTXI5sKKqLgDWJ9k0rDauk5AknarPCP6nwBXAse71ecAfJvlakr/paluB3d36fcCWOWqSpAmZN+Cr6lhVPTWjdBdwQVWdD/xKknMYjO4f77YfA9bNUTtJkh1JDiQ5cPTo0edwGpKk2Ua5ybq/qp7u1h8DNgHHgVVdbU133GG1k1TVrqqarqrpqampEZoiSZrLKAF/d5Kzk7wEeDvwKHCQE1Mwm4FDc9QkSROycoT3XAvsBf4P+Luq+maSI8C+JOuBixnM09eQmiRpQnoHfFVt7f7uBX511rZjSbYC24CPPzNnP6wmSZqMUUbwQ1XVk5z41sycNUnSZPhLVklqlAEvSY0y4CWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1CgDXpIaZcBLUqMMeElqlAEvSY3qFfBJ1iXZ162/KMkdSfYnuXIhNUnS5Mwb8EnWArcAq7vSB4EDVXUBcGmSly6gJkmakJU99vkpcAXwle71VmBnt74fmF5Abe/MAyfZAewA2LBhw8JbP8PGnXue0/sn6dB12xe7CZKWgXlH8FV1rKqemlFaDTzerR8D1i2gNvvYu6pquqqmp6amRjsDSdJQo9xkPQ6s6tbXdMfoW5MkTcgooXsQ2NKtbwYOLaAmSZqQPnPws90C3JnkzcCrga8zmIrpU5MkTUjvEXxVbe3+Hga2Af8CvK2qftq39nw3XpI0t1FG8FTVfwO7R6lJkibDG5+S1CgDXpIaZcBLUqMMeElqlAEvSY0y4CWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1KgFB3ySlUm+l+T+bnltkmuTPJjkkzP2O6UmSZqcUUbw5wBfqKqtVbUVeDGwBXgD8P0kb0syPbv2fDVYktTPyhHecx5wWZI3AYeBh4AvVlUluRf4LeCpIbV7n69GS5LmN8oI/kHgLVW1BfghsAp4vNt2DFgHrB5SO0WSHUkOJDlw9OjREZoiSZrLKAH/cFUd6dYfA44zCHmANd0xh9VOUVW7qmq6qqanpqZGaIokaS6jBPytSTYnWQFcxmC0vqXbthk4BBwcUpMkTdAoc/B/BXweCHA78BFgX5IbgHd0y2HgY7NqkqQJWnDAV9WjDL5J83Pdt2S2AzdU1XfnqkmSJmeUEfwpqupHwG3z1SRJk+MvWSWpUQa8JDXKgJekRhnwktQoA16SGmXAS1KjDHhJapQBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUKANekhplwEtSowx4SWqUAS9JjTLgJalRBrwkNcqAl6RGGfCS1CgDXpIaZcBLUqMMeElqlAEvSY0y4CWpUQa8JDVq7AGf5OYk+5NcM+7PkiSdMNaAT3I5sKKqLgDWJ9k0zs+TJJ2QqhrfwZO/Bf6xqu5M8jvAS6vqszO27wB2dC9fBXxzbI0ZzVnADxa7EY2yb8fHvh2fpdi3r6yqqWEbVo75g1cDj3frx4BfnrmxqnYBu8bchpElOVBV04vdjhbZt+Nj347PC61vxz0HfxxY1a2vmcDnSZI64w7cg8CWbn0zcGjMnydJ6ox7iubLwL4k64GLgfPG/HnPtyU7fdQA+3Z87NvxeUH17VhvsgIkWQtsA75aVU+M9cMkST839oCXJC0Ob3qOKMmLk/zSYrejVUlevdhtaFGSl3dTpnqeLcVMMOBH9y7gxsVuRIuSXAR8PsmLF7stDfoQ8BeL3YhGLblMWBZTNEnOAP6BwU3l48AVwE3ArwF3VtVHuv1u7lmbAv4N+A6D7/efDRxh8A/mqqq6aGInt8hG7dskK4H/7BaAD1bVI0l+gcG3r55m8IOSX+z+FoOv3L5rudzLWUDfrgNuq6o3d69fBHwJOBP4+6r6TFd/FfAA8K/Ajzhx3a4EflhV75zc2S2u59C3rwC+Dny7O9TvVtXRpZoJy2UE/27g+qraBjwBvJNZj1AY9liFOWovAj4H3FhVF1bVpcCPq+rSqrpkOYV7Z6S+Bc4BvlBVW7vlke54NwH7quq8rm//B3hvVW2vqrcul3Dv9OnbtcAtDH5U+IwPAge6/S5N8tIkLwN2Ax+oqt+Ydd2+YzmFe2fUvn0j8NEZ1+3RpZwJy2IEP1OS24CXAZ+Y+QgF4FxmPVZhjtpe4MruGM/8MvdNwNcYjAZur6pPTvSklogF9u0q4E8ZBPhh4H3AGcCHGYyo3shg1P564GHgZ8CDVbUsH1r3LH37RSDAV6pqa7fv7cDOqvr3JH/G4P+I/pfBt9nOZdDPcPJ1u6uqbpvgKS0ZC+zbjzP4yvdx4IGq+lCSjSzRTBj39+CXlCTnA2sZ/OBq9iMUhj1W4ZRaVR0C/jLJfcBvVtVPkjxQVZdM5CSWqBH69p+At1TVkSSfAi6pqtuBP0/yGeBPqurbSe4Afr+qltrzPybm2fq2qo51+8x8y+z+XldVe4GHkny1qi7s3uN1u/C+vQv466p6OsmeJOdU1cMs0UxYLlM0JDmTwQ2QKxn+CIVetSQrkqxgMLoc9jmndduXjRH79uGqOtLVHgM29ejbdHP3y0aPvh1m2HW7MslpPPt1u2zyAEbu2/1V9XS33ve6XbRMWBb/QZOczmD+8aqqOszwRyj0re0A9jC4SfXlboT5qiR3dOt7gPeP94yWjufQt7cm2dxd+JcBDwG/DdwJrAM+0fXn64HPzejbqyZwWktCz74dZth+1zDo26dnXKuzr9tLx3EeS9Fz6Nu7k5yd5CXA24FHWcqZUFXNL8AHgCeB+7vlfQwC5XrgPxjMSb6sT22O4399sc/xBdi3v85gbv0RBjet5jr+HcBZi32eS7VvZ+x7/4z1VwLfAG4AHmRw83DY8b1uF963FzEYuT8M/PGzHH9J9O2yu8n6jGGPUOhbG3Ksb1TVaybT8qVv1H6c41j3Au+pE9M5y1rffux+zLQFuLuqnppjH6/bGUa9Ruc41pLo22Ub8JLUumUxBy9Jy5EBL0mNMuAlqVEGvCQ1yoCXpEYZ8JLUqP8HHYY5f9cOZjMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = [\"2000\",\"2005\",\"2010\",\"2015\"]\n",
    "x_labels = [\"2000年\",\"2005年\",\"2010年\",\"2015年\"]\n",
    "y = [1000,2000,3000,2500]\n",
    "plt.bar(x,y,width=0.5)\n",
    "plt.xticks(x,x_labels)\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "eb8592f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = [\"2000\",\"2005\",\"2010\",\"2015\"]\n",
    "x_labels = [\"2000年\",\"2005年\",\"2010年\",\"2015年\"]\n",
    "y = [1000,2000,3000,2500]\n",
    "plt.barh(x,y)\n",
    "\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "231cea25",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 1 2 3 4] [ 0 -5 -2 -2  2]\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "x=np.arange(5)\n",
    "y=np.random.randint(-5,5,size=5)\n",
    "print(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "8345d738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(1,2,1)\n",
    "plt.barh(x,y)\n",
    "plt.axvline(0,color='red')\n",
    "plt.subplot(1,2,2)\n",
    "plt.bar(x,y)\n",
    "plt.axhline(0,color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "4118f2c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 5 artists>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAAD2CAYAAACUahZWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAIkUlEQVR4nO3dT4hd5RmA8edtgiVEaidkCHUxnY10UVqlDiWK2DQYiE0X1SxmIe3GMlJcuTJB6UKhZCFuQgwddCGlrWZTEUJpa3UwxWYxQQpdFNzEgjQ4gjHERS3h7WJuyDTGpPfc7+Te+87zg8D9k3PPe+HJybn3ZL5EZiJV9KVxDyD1xbhVlnGrLONWWcatsrb2vYOdO3fm/Px837vRJnbmzJmPMnP26sd7j3t+fp7V1dW+d6NNLCLev9bjnpaoLONWWcatsoxbZRm3yjJuldXpq8CIuA14ZbD9RWAxMz9rOZg0qq5H7keA5zNzH3AO2N9uJKmNTkfuzHxhw91Z4MONz0fEErAEMDc313k4TZf5Qyd7e+2zRw4Mvc1I59wRcQ8wk5mnNz6emcuZuZCZC7Ozn7sqKt0UnS+/R8QO4ChwsN04UjudjtwRcQtwAjicmde8ri+NW9fTkkeBu4GnImIlIhYbziQ10fUD5XHgeONZpKa8iKOyjFtlGbfKMm6VZdwqy7hVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2UZt8oybpXVOe6I2BURp1oOI7XUdd2SGeBlYHvbcaR2uh65LwGLwIVrPRkRSxGxGhGra2trnYeTRtEp7sy8kJmfXOd51wrU2PmBUmUZt8oybpU1UtyZuafRHFJzHrlVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2UZt8oybpVl3CrLuFWWcass41ZZxq2yjFtljbIQ5ksR8U5EPN1yIKmVrgthPgxsycx7gdsj4o62Y0mj29pxuz3AicHtN4H7gPcuPxkRS8ASwNzc3AjjtTd/6GRvr332yIFNvc8venxcup6WbAc+GNy+AOza+KQLYWoSdI37IrBtcPvWEV5H6k3XKM+wfioCcCdwtsk0UkNdz7lfA05FxO3Ag8DuZhNJjXRefJ71D5Wnge9fbyF6aVy6HrnJzI+58o2JNHH8IKiyjFtlGbfKMm6VZdwqy7hVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2V1XXFqV0Scaj2M1NLQcUfEDPAy6wvzSBOry5H7ErDI+kpT0sS64U+/R8QvgW9seOjNzHwmIq63zcSuFajN44ZxZ+Zjw75oZi4DywALCwvZYS5pZH5borKMW2V1jjsz9zScQ2rOI7fKMm6VZdwqy7hVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2UZt8oybpVl3CrLuFWWcausGy7Kc7WIuA14ZbDtRWAxMz9rPZg0qi5H7keA5zNzH3AO2N92JKmNoY/cmfnChruzwIdX/x7XCvxfZ48c2BT7nDSjLIR5DzCTmaev3sa1AjUJOi2EGRE7gKPAwT6Gklrosvj8LcAJ4HBmvt9+JKmNLh8oHwXuBp6KiJWIWGw8k9RElw+Ux4HjPcwiNeVFHJVl3CrLuFWWcass41ZZxq2yjFtlGbfKMm6VZdwqy7hVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VVanuCNiR0Tsi4idrQeSWumytMPXgJPAd4G3ImK2+VRSA0P/9DvwTeCJzDwdETPAd4A/tB1LGt3QR+7MfGMQ9v2sH73/evXviYiliFiNiNW1tbUWc0pD67RWIPAssAj8B7h09TauFahJ0GmtwIHHI+JZ4IfAq02nkhro8oHyyYj4yeDuV4HzLQeSWunyVeAy8OOIeBvYAvyx7UhSG13WCvwY2NfDLFJTXqFUWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2UZt8oybpVl3CrLuFWWcass41ZZxq2yjFtlGbfK6hx3ROyKiHdbDiO1NMqR+zlgW6tBpNa6LmG8F/gUONd2HKmdrmsF7gV+BLz2BdssAUsAc3Nzo84odXLDI3dmPpaZey7/Gjx8LDPPX2eb5cxcyMyF2VmX79Z4dDkteYD1RTBXgLsi4sW2I0ltdFlO7f7LtyNiJTN/2nYkqY2RvufecJoiTRwv4qgs41ZZxq2yjFtlGbfKMm6VZdwqy7hVlnGrLONWWcatsoxbZRm3yjJulWXcKsu4VZZxqyzjVlnGrbKMW2UNFXdEbI2If0bEyuDXt/oaTBrVsEs7fBv4bWY+2ccwUkvDnpbsBh6KiL9ExK8jYuh1T6Sb5bpxXmOdwLeA72XmvyLiGPAD4PVrbDexawWePXJg3CPoJrlu3Jn52Mb7EfHlzPz34O4/gDu+YLtlYBlgYWEhG8wpDW3Y05JfRcSdEbEFeAj4Ww8zSU0Me878DPAbIIDXM/ON9iNJbQwVd2b+nfVvTKSJ50UclWXcKsu4VZZxqyzjVlmR2e81lohYA95v9HI7gY8avdak2gzvEdq+z69n5uf+Z7He424pIlYzc2Hcc/RpM7xHuDnv09MSlWXcKmva4l4e9wA3wWZ4j3AT3udUnXNLw5i2I7f0fzNulTU1cUfESxHxTkQ8Pe5Z+hARt0XE7yPiTxHxu4i4Zdwz9SkidkXEu33uYyrijoiHgS2ZeS9we0Rc8yeAptwjwPOZuQ84B+wf8zx9ew7Y1ucOpuUHfPcAJwa33wTuA94b2zQ9yMwXNtydBT4c1yx9i4i9wKes/yHuzVQcuYHtwAeD2xeAXWOcpVcRcQ8wk5mnxz1LHwanWz8HDvW9r2k5cl/kyl9htzI9fyiHEhE7gKPAwXHP0qNDwLHMPB8Rve5oWiI5w/qpCMCdwNnxjdKPwRHtBHA4M1v9Q7NJ9ADweESsAHdFxIt97WgqLuJExFeAU8CfgQeB3Zn5yXinaisifgb8gisrChzPzFfHOFLvImIlM/f09vrTEDdARMwA+4C3M7PXDyKqYWriloY1Lefc0tCMW2UZt8oybpVl3Crrv0+n0TxZFBW1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "9c9d360f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#三天中三部电影的票房变化\n",
    "real_names=['千与千寻','玩具总动员 4','黑衣人：全球追缉']\n",
    "real_num1=[5453,7548,6543]\n",
    "real_num2=[1840,4013,3421]\n",
    "real_num3=[1080,1673,2342]\n",
    "#生成 x 第 1 天 第 2 天 第 3 天\n",
    "x=np.arange(len(real_names))\n",
    "x_label=['第{}天'.format(i+1) for i in range(len(real_names))]\n",
    "#绘制柱状图\n",
    "#设置柱的宽度\n",
    "width=0.3\n",
    "plt.bar(x,real_num1,color='g',width=width,label=real_names[0])\n",
    "plt.bar([i+width for i in x],real_num2,color='b',width=width,label=real_names[1])\n",
    "plt.bar([i+2*width for i in x],real_num3,color='r',width=width,label=real_names[2])\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "#修改 x 坐标\n",
    "plt.xticks([i+width for i in x],x_label)\n",
    "#添加图例\n",
    "plt.legend()\n",
    "#添加标题\n",
    "plt.title('3 天的票房数')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "62e106d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#准备男、女的人数及比例\n",
    "man=71351\n",
    "woman=68187\n",
    "man_perc=man/(woman+man)\n",
    "woman_perc=woman/(woman+man)\n",
    "#添加名称\n",
    "labels=['男','女']\n",
    "#添加颜色\n",
    "colors=['blue','red']\n",
    "#绘制饼状图 pie\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "# labels 名称 colors：颜色，explode=分裂 autopct 显示百分比\n",
    "paches,texts,autotexts=plt.pie([man_perc,woman_perc],labels=labels,colors=colors,explode=(0.2,0.3),autopct='%0.1f%%')\n",
    "#设置饼状图中的字体颜色\n",
    "for text in autotexts:\n",
    "    text.set_color('white')\n",
    "#设置字体大小\n",
    "for text in texts+autotexts:\n",
    "    text.set_fontsize(30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "3f09564e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "        2.06690512e-01,  5.31042507e-01,  2.39145581e-01,  1.39789626e+00,\n",
       "        5.51713548e-02,  2.98977456e-01,  1.64850401e+00, -1.55001419e+00,\n",
       "       -4.55825348e-01,  1.42615875e+00,  9.36129148e-01,  6.78380099e-01,\n",
       "        8.32650739e-01,  3.27066209e-01,  1.63159743e+00,  3.77759170e-01,\n",
       "        2.39867106e-01,  1.58958674e-01,  1.92863956e-01, -1.15701728e+00,\n",
       "        7.70673054e-01, -1.30439734e-01,  1.82191510e+00, -7.56504706e-02,\n",
       "        4.20918284e-01,  2.46602186e-01, -6.25557035e-01,  9.92136829e-01,\n",
       "        1.90506364e+00, -1.47772197e-02, -3.00478786e-01, -3.55028731e-01,\n",
       "       -1.89236189e+00, -1.77813144e-01,  2.50998116e-01,  1.05475793e+00,\n",
       "        9.60047741e-01, -4.16499082e-01, -2.76822995e-01,  1.12390531e+00,\n",
       "       -1.73463897e-01, -5.10029540e-01,  1.39251845e+00,  1.03758567e+00,\n",
       "        1.87917918e-02, -5.93777448e-01, -2.01188032e+00,  5.89703606e-01,\n",
       "       -8.96369723e-01, -1.96273201e+00,  1.58482053e+00,  6.47967791e-01])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.random.randn(1000)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "f5a7499f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 1.,  0.,  0.,  1.,  2.,  0.,  2.,  2.,  0.,  0.,  2.,  1.,  4.,\n",
       "         1.,  0.,  2.,  6.,  5.,  2.,  4.,  8.,  4., 10.,  6.,  8.,  9.,\n",
       "         8., 10.,  7., 11., 14., 10., 16., 18., 19., 17., 23., 17., 22.,\n",
       "        15., 24., 22., 28., 23., 27., 22., 26., 31., 29., 30., 21., 18.,\n",
       "        39., 25., 26., 27., 22., 19., 18., 12., 16., 19., 19., 11., 19.,\n",
       "        14., 16.,  9.,  4., 11., 10., 12.,  5.,  7.,  5.,  8.,  8.,  3.,\n",
       "         3.,  1.,  1.,  4.,  1.,  4.,  1.,  2.,  3.,  2.,  0.,  2.,  1.,\n",
       "         0.,  1.,  1.,  0.,  0.,  0.,  0.,  0.,  1.]),\n",
       " array([-3.04614305e+00, -2.98397188e+00, -2.92180070e+00, -2.85962952e+00,\n",
       "        -2.79745834e+00, -2.73528716e+00, -2.67311599e+00, -2.61094481e+00,\n",
       "        -2.54877363e+00, -2.48660245e+00, -2.42443127e+00, -2.36226009e+00,\n",
       "        -2.30008892e+00, -2.23791774e+00, -2.17574656e+00, -2.11357538e+00,\n",
       "        -2.05140420e+00, -1.98923302e+00, -1.92706185e+00, -1.86489067e+00,\n",
       "        -1.80271949e+00, -1.74054831e+00, -1.67837713e+00, -1.61620595e+00,\n",
       "        -1.55403478e+00, -1.49186360e+00, -1.42969242e+00, -1.36752124e+00,\n",
       "        -1.30535006e+00, -1.24317888e+00, -1.18100771e+00, -1.11883653e+00,\n",
       "        -1.05666535e+00, -9.94494172e-01, -9.32322993e-01, -8.70151815e-01,\n",
       "        -8.07980637e-01, -7.45809458e-01, -6.83638280e-01, -6.21467102e-01,\n",
       "        -5.59295924e-01, -4.97124745e-01, -4.34953567e-01, -3.72782389e-01,\n",
       "        -3.10611210e-01, -2.48440032e-01, -1.86268854e-01, -1.24097676e-01,\n",
       "        -6.19264973e-02,  2.44680964e-04,  6.24158592e-02,  1.24587038e-01,\n",
       "         1.86758216e-01,  2.48929394e-01,  3.11100572e-01,  3.73271751e-01,\n",
       "         4.35442929e-01,  4.97614107e-01,  5.59785285e-01,  6.21956464e-01,\n",
       "         6.84127642e-01,  7.46298820e-01,  8.08469999e-01,  8.70641177e-01,\n",
       "         9.32812355e-01,  9.94983533e-01,  1.05715471e+00,  1.11932589e+00,\n",
       "         1.18149707e+00,  1.24366825e+00,  1.30583942e+00,  1.36801060e+00,\n",
       "         1.43018178e+00,  1.49235296e+00,  1.55452414e+00,  1.61669532e+00,\n",
       "         1.67886649e+00,  1.74103767e+00,  1.80320885e+00,  1.86538003e+00,\n",
       "         1.92755121e+00,  1.98972239e+00,  2.05189356e+00,  2.11406474e+00,\n",
       "         2.17623592e+00,  2.23840710e+00,  2.30057828e+00,  2.36274946e+00,\n",
       "         2.42492063e+00,  2.48709181e+00,  2.54926299e+00,  2.61143417e+00,\n",
       "         2.67360535e+00,  2.73577653e+00,  2.79794770e+00,  2.86011888e+00,\n",
       "         2.92229006e+00,  2.98446124e+00,  3.04663242e+00,  3.10880360e+00,\n",
       "         3.17097477e+00]),\n",
       " <BarContainer object of 100 artists>)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD2CAYAAAD24G0VAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAOGUlEQVR4nO3dcYicdX7H8fenuQpWD03IkJrCNn9caKmcKXWx6qVeKg2t3lHItVwKVg+0bKFyf/iXEeXgTgQ5ioXK6XVBDpHWNv+clXr2ajBBS7Q00tNaUFpKctYqzYGas5TWk2//mEdd19nd2cnMzvw27xcsPjPPzOz3yex8/PF8f79nUlVIktrxU9MuQJK0Pga3JDXG4JakxhjcktQYg1uSGvOpSf+C7du3165duyb9ayRpU3nhhRd+VFW9QfsmHty7du3ixIkTk/41krSpJDm10j5PlUhSY4YK7iQ7kvxTt/1QkuNJ7ppsaZKkQYYdcf8xcH6SLwFbqupqYGeS3ZMrTZI0yJrBneRa4L+BN4F9wOFu19PA3hWes5DkRJITp0+fHlOpkiRYI7iTnAd8DTjU3XUB8Hq3fQbYMeh5VbVYVfNVNd/rDWyKSpJGtNaI+xDwrap6u7v9LnB+t33hEM+XJI3ZWtMBfwO4NsmtwC8Dc8BrwPPAHuDViVYnSfqEVYO7qq75YDvJMeC3gWeT7ASuA66caHWSpE8Y+lRHVe2rqjP0G5TPA79eVe9MqjBJ0mDrXjlZVW/x0cwSaVPadeiJD7dP3vuFKVYifZLNRUlqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMYY3JLUGINbkhpjcEtSY4YK7iTbkuxPsn3SBUmSVrdmcCe5BHgCuAI4mqSX5IdJjnU/n514lZKkDw3z1WWXArdV1fNJtgI3A49W1e2TLU2SNMiaI+6qOtKF9jX0R93/AxxI8vdJ/jzJur+3UpI0umHPcQc4CLwHvAh8vqr2Am8D1w94/EKSE0lOnD59eozlSpKGCu7quxU4DvxsVb3R7XoF2D3g8YtVNV9V871eb3zVSpKGak7enuSm7ubFwLeT7EmyBThAfwQuSdogw4y4F4EbkzwDbAGuAR4BfgA8V1VHJleeJGm5NRuLVfUWsH/Z3ZdNphxJ0lpcOSlJjTG4JakxBrckNcbglqTGGNyS1BiDW5IaY3BLUmMMbklqjMEtSY0xuCWpMQa3JDXG4JakxhjcktQYg1uSGmNwS1JjDG5Jaozf0K5Na9ehJz7cPnnvF6ZYiTRejrglqTFDBXeSbUn2J9k+6YIkSasb5lveLwGeAK4AjibpJXkoyfEkd028QknSxwwz4r4UuK2q7gG+D1wLbKmqq4GdSXZPskBJ0scN8y3vRwCSXEN/1L0NONztfhrYC/zrpAqUJH3cULNKkgQ4CLwHBHi923UG+MyAxy8ACwBzc3NjKVQaF2ebqHVDNSer71bgOHAlcH6368JBr1FVi1U1X1XzvV5vbMVKkoZrTt6e5Kbu5sXAvfRPjwDsAU5OpDJJ0kDDnCpZBA4n+QPgZeAx4JkkO4Hr6I/AJUkbZJjm5FvA/qX3JdnX3ffNqnpnIpVJkgYaacl7F+aH13ygNCOWNiSl1rnkXZIaY3BLUmMMbklqjMEtSY3xetyaWa5wlAZzxC1JjTG4JakxBrckNcbglqTG2JxUc5avgpxW49LmqabFEbckNcbglqTGGNyS1BiDW5IaY3BLUmOcVaJNZdLX3fa63poFjrglqTFrjriTXAT8ZffYd4GDwL8B/9495KtV9c8Tq1CS9DHDjLhvAO6rqv3Am8Ah4NGq2tf9GNqStIGG+bLgB5bc7AGvAQeSfA44BXylqn4yofokScsM3ZxMchWwFXgK+E5VvZHkW8D1wOPLHrsALADMzc2Nr1ppCmxIatYM1ZxMsg24H7gZeKmq3uh2vQLsXv74qlqsqvmqmu/1emMrVpI0RHAnOQ84DNxRVaeAR5LsSbIFOAC8OOEaJUlLDDPivgW4HLgzyTHgX4BHgB8Az1XVkYlVJ0n6hGGakw8CDy67++uTKUeStBZXTmrqvK61tD6unJSkxhjcktQYg1uSGmNwS1JjDG5JaoyzSjR2k5gl4rJz6SOOuCWpMQa3JDXG4JakxhjcktQYm5PaMMM0LUdpQs5C49Jl+9pIjrglqTEGtyQ1xuCWpMYY3JLUGJuTOqfZVFSLHHFLUmMMbklqjMEtSY1ZM7iTXJTkySRPJflukvOSPJTkeJK7NqJISdJHhhlx3wDcV1X7gTeB3wO2VNXVwM4kuydZoCTp49YM7qp6oKqe6m72gN8HDne3nwb2Ln9OkoUkJ5KcOH369NiKlSSt4xx3kquArcBrwOvd3WeAHcsfW1WLVTVfVfO9Xm8shUqS+oYK7iTbgPuBm4F3gfO7XRcO+xqSpPEYpjl5Hv1TI3dU1SngBT46PbIHODmx6iRJnzDMaPkW4HLgziTHgAA3JrkP+DIw/WtqStI5ZM0l71X1IPDg0vuSPA7sB75ZVe9MqDbNOJeLD7bef5eVrie+9Ln+W2upka5VUlVv8dHMEknSBrKxKEmNMbglqTEGtyQ1xutxa11m4Yt5J2USx2ZTUZPgiFuSGmNwS1JjDG5JaozBLUmNMbglqTHOKtFYrDQjYzPPQpGmxRG3JDXG4JakxhjcktQYg1uSGmNzUmuywTh+4/o3dUn9uckRtyQ1ZtgvC96R5Nlu++eS/EeSY92PX+MuSRtozVMlSbYCDwMXdHf9KnBP95VmkqQNNsyI+33gIHCmu30l8EdJnkvyJxOrTJI00DBfFnwGIMkHdz0J3F1VP07yRJLLquqlpc9JsgAsAMzNzY23Ym0KNjyl0Y3SnDxeVT/utl8Bdi9/QFUtVtV8Vc33ep4Cl6RxGiW4v5/kkiQ/A/wm8PKYa5IkrWKUedxfB44C/wd8u6peHW9JkqTVDB3cVbWv++9R4BcnVZAkaXWunNSHXIXXBhu7cuWkJDXG4JakxhjcktQYg1uSGmNwS1JjDG5JaozBLUmNMbglqTEGtyQ1xuCWpMa45F3aILO4VN3LHLTJEbckNcbglqTGGNyS1BiDW5IaY3PyHDeLDTP1jfO9sQm5uTjilqTGGNyS1BiDW5IaM1RwJ9mR5Nlu+6eT/E2S40lunmx5kqTl1gzuJFuBh4ELuru+CpyoqquBLyb59ATrkyQtM8yskveBg8Bfd7f3AYe67ePAPHB06ROSLAALAHNzc+OoU5zdzID1PtfZJpuX72371hxxV9WZqnpnyV0XAK9322eAHQOes1hV81U13+v1xlOpJAkYrTn5LnB+t33hiK8hSRrRKKH7ArC3294DnBxbNZKkNY2ycvJh4HtJfg34JeAfxluSJGk1Qwd3Ve3r/nsqyX76o+6vVdX7E6pNI3Bp87lredPR93/zGulaJVX1n8DhMdciSRqCjUVJaozBLUmNMbglqTFej3vGjNJcXGklnCvkNG4r/U3ZCN1YjrglqTEGtyQ1xuCWpMYY3JLUGINbkhrjrJJzkLNNtBYvnTDbHHFLUmMMbklqjMEtSY0xuCWpMTYnJ2xSTR4bjNK5yxG3JDXG4Jakxqw7uJN8KskPkxzrfj47icIkSYONco77MuDRqrp93MVIktY2SnBfCRxI8jngFPCVqvrJ0gckWQAWAObm5s66yM3C1WiaZV7XvR2jnOP+R+DzVbUXeBu4fvkDqmqxquarar7X651liZKkpUYZcb9UVf/bbb8C7B5jPZKkNYwy4n4kyZ4kW4ADwItjrkmStIpRRtzfAP4CCPB4VR0Zb0mSpNWsO7ir6mX6M0skSVPgkvd1msTMELv5moRZ/vtZ6XPkzKvhuHJSkhpjcEtSYwxuSWqMwS1JjbE5KemsrdQInUSD0QamI25Jao7BLUmNMbglqTEGtyQ1ZtM1J4dZkbXUSs2Ns2mADLNibZZXtUmzZpjVxefSCkxH3JLUGINbkhpjcEtSYwxuSWrMzDcnh2kyTLrRt97GiKS+s2nUj+tzvfx1zmbSwnp/36RywRG3JDXG4JakxhjcktSYkYM7yUNJjie5a5wFSZJWN1JwJ/kSsKWqrgZ2Jtk93rIkSStJVa3/ScmfAn9bVd9L8rvAp6vqO0v2LwAL3c1fAF4dQ63bgR+N4XWmyWOYDR7DbPAYVvfzVdUbtGPU6YAXAK9322eAzyzdWVWLwOKIrz1QkhNVNT/O19xoHsNs8Bhmg8cwulHPcb8LnN9tX3gWryNJWqdRA/cFYG+3vQc4OZZqJElrGvVUyWPAs0l2AtcBV46topWN9dTLlHgMs8FjmA0ew4hGak4CJNkK7Aeeqao3x1qVJGlFIwe3JGk6mmkqJtmWZH+S7dOuRdK5bdp51ERwJ7kEeAK4AjiaZODcxlmW5KIkTyZ5Ksl3k5w37ZpGkWRHkmenXceoNsOK35bfg83wOZiFPGoiuIFLgduq6h7g+8CvTLmeUdwA3FdV+4E3gd+acj3r1vU1HqY/j785m2HFb+vvAZvgc8AM5FETwV1VR6rq+STX0P+/3HPTrmm9quqBqnqqu9kD/mua9YzofeAg/UVXLdoHHO62n+ajKa0tafo92Ayfg1nIo5n8IoUkf0Z/qfwHngbupv8H+x79P96ZNugYquobSa4CtlbV81MqbWirHMO0Sjpbq674bUFVnQFo+D0AoKXPwSDpvwFTy6OZDO6q+sMVdt2a5G7gi8BfbWBJ6zboGJJsA+4HfmfjK1q/Vd6HVrnidwa09jkYpPrT8aaWR0384Sa5PclN3c2LgbenV81ouibMYeCOqjo17XrOUa74nbLN8DmYhTxqIrjpr066MckzwBbg76ZczyhuAS4H7kxyLMnBaRd0DnqM/t/RfcCX6c8M0MbaDJ+DqeeRC3B0TnHFrzYDg1uSGtPKqRJJUsfglqTGGNyS1BiDW5IaY3BLUmP+H+OywxSQNt5rAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(x,bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "6de221c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as npaa\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "x=np.linspace(-10,10,100)\n",
    "y=np.linspace(-10,10,100)\n",
    "#计算 x 和 y 的相交点 a\n",
    "X,Y=np.meshgrid(x,y)\n",
    "# 计算 Z 的坐标\n",
    "Z=np.sqrt(X**2+Y**2)\n",
    "plt.contourf(X,Y,Z)\n",
    "plt.contour(X,Y,Z)\n",
    "# 颜色越深表示值越小，中间的黑色表示 z=0\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "57d96513",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ],\n",
       "        [-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ],\n",
       "        [-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ],\n",
       "        ...,\n",
       "        [-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ],\n",
       "        [-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ],\n",
       "        [-10.       ,  -9.7979798,  -9.5959596, ...,   9.5959596,\n",
       "           9.7979798,  10.       ]]),\n",
       " array([[-10.       , -10.       , -10.       , ..., -10.       ,\n",
       "         -10.       , -10.       ],\n",
       "        [ -9.7979798,  -9.7979798,  -9.7979798, ...,  -9.7979798,\n",
       "          -9.7979798,  -9.7979798],\n",
       "        [ -9.5959596,  -9.5959596,  -9.5959596, ...,  -9.5959596,\n",
       "          -9.5959596,  -9.5959596],\n",
       "        ...,\n",
       "        [  9.5959596,   9.5959596,   9.5959596, ...,   9.5959596,\n",
       "           9.5959596,   9.5959596],\n",
       "        [  9.7979798,   9.7979798,   9.7979798, ...,   9.7979798,\n",
       "           9.7979798,   9.7979798],\n",
       "        [ 10.       ,  10.       ,  10.       , ...,  10.       ,\n",
       "          10.       ,  10.       ]]))"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X,Y=np.meshgrid(x,y)\n",
    "X,Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "9cb1b766",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 100) (100, 100)\n"
     ]
    }
   ],
   "source": [
    "print(X.shape,Y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "507950c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 100)"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "7698102e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x2c480112cc8>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.contour(X,Y,Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "19566195",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\anaconda\\envs\\my_test\\lib\\site-packages\\ipykernel_launcher.py:2: MatplotlibDeprecationWarning: Axes3D(fig) adding itself to the figure is deprecated since 3.4. Pass the keyword argument auto_add_to_figure=False and use fig.add_axes(ax) to suppress this warning. The default value of auto_add_to_figure will change to False in mpl3.5 and True values will no longer work in 3.6.  This is consistent with other Axes classes.\n",
      "  \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax=Axes3D(fig)\n",
    "X=X.reshape(10000)\n",
    "Y=Y.reshape(10000)\n",
    "Z=Z.reshape(10000)\n",
    "ax.plot_trisurf(X,Y,Z)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99ba48b1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "13ab40cc",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "my_test",
   "language": "python",
   "name": "my_test"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
